Calculating Acceleration on Ice: Max Possible for 60.9kg Person

In summary, the maximum possible acceleration of a 60.9kg person running on ice with a coefficient of static friction of 0.123 is (0.123)(9.8m/s^2) = 1.2054m/s^2. The mass of the person does not affect the calculation as it cancels out.
  • #1
Emethyst
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0

Homework Statement


A 60.9kg person wishes to run on ice. The coefficient of static friction between his shoes and the ice is 0.123. What is his maximum possible acceleration?


Homework Equations


Newton's laws of motion



The Attempt at a Solution


I figured that Fnet = Ffr, with me then solving for a. This, however, seems almost too easy for the mass cancels out just leaving me with a = (coefficient of static friction)(g). I'm not sure if I need to consider an Fapp force here or not. Is what I'm doing for this question correct, or is there something else I'm missing here? Thanks for the assistance.
 
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  • #2
You are correct!
 
  • #3



Your approach is correct. The coefficient of static friction represents the maximum force that can be applied before slipping occurs, so it makes sense that it would be used in this calculation. As long as the person's applied force does not exceed the maximum frictional force, they will be able to accelerate without slipping on the ice. You do not need to consider an applied force in this scenario, as the person's own weight will be enough to generate the maximum frictional force.
 

FAQ: Calculating Acceleration on Ice: Max Possible for 60.9kg Person

What is acceleration on ice?

Acceleration on ice refers to the rate at which an object's velocity changes while moving on a surface of ice. It is measured in meters per second squared (m/s^2).

How is acceleration on ice calculated?

Acceleration on ice can be calculated by dividing the change in an object's velocity by the time it takes for that change to occur. The formula for acceleration is a = (vf - vi)/t, where a is acceleration, vf is final velocity, vi is initial velocity, and t is time.

What factors affect acceleration on ice?

The main factor that affects acceleration on ice is the coefficient of friction between the object and the ice. Other factors include the weight and mass of the object, the shape and size of the object, and the temperature and condition of the ice surface.

What is the maximum possible acceleration for a 60.9kg person on ice?

The maximum possible acceleration for a 60.9kg person on ice depends on several factors, such as the person's strength and technique, the condition of the ice, and the type of footwear they are wearing. It is difficult to determine a specific maximum acceleration for a person without more information.

How can acceleration on ice be increased?

Acceleration on ice can be increased by decreasing the coefficient of friction between the object and the ice, either by improving the surface of the ice or by using materials or techniques that reduce friction. It can also be increased by increasing the force applied to the object, such as by pushing off with more force or using tools or equipment to increase force.

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